Sept. 17 Class

Your first summative test is this Wednesday!

Today I did quick review of topics that you'll need to know to do well on the test.

What is a Function
 -       Be able to define what a function is (...each 'x' value is related to ONE 'y' value.)
 -       Be able to recognize a function from a non-function (vertical line test)
 -       Be able to evaluate functions using functions notation.

Eg. Evaluate f(2) + f(1) for the function f(x) = x² + 1.

f(2) = (2)² + 1               f(1) = (1)² + 1
       = 5                               = 2

f(2) + f(1) = 5 + 2 = 7

Determine if a Function is Linear or Quadratic

-       Look for x² in the equation (x, degree 1, is linear.  x², degree 2, is quadratic).

-       See if the graph is curved (straight line is linear, parabola is quadratic).

-       Use 1^st and 2^nd differences.

-       Functions can be linear, quadratic or neither.

Domain and Range
 -       Be able to state the domain and range of different functions
 -       Know when to list points and when to use set notation.

Transformations

-       Be able to describe transformations in words.

-       Be able to sketch a graph.  Use the vertex, then the step pattern.

-       Be able to sate the equation from a graph.

Word Problems

-       The domain and range are sometimes restricted depending on the situation.

  -       Graph by table of values if necessary.


Homework Problems

P. 68 #1-10, 12-14